Subjects probability

Female Spain Probability E87488

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1. **State the problem:** We have 60 people surveyed about holiday preferences: Britain, Spain, or Italy. We know: - Total people = 60 - Males = 38 - Females = 60 - 38 = 22 - People who said Britain = 32 - Females who said Britain = 11 - Males who said Italy = 8 - People who said Spain = 12 We want to find the probability that a randomly chosen female said Spain. 2. **Identify females who said Spain:** - Females who said Britain = 11 - Total females = 22 - Females who said Britain or Spain or Italy = 22 3. **Calculate females who said Italy:** - Males who said Italy = 8 - Total people who said Italy = Total - Britain - Spain = 60 - 32 - 12 = 16 - Females who said Italy = 16 - 8 = 8 4. **Calculate females who said Spain:** - Females total = 22 - Females who said Britain or Italy = 11 + 8 = 19 - Females who said Spain = 22 - 19 = 3 5. **Calculate probability:** - Probability = Number of females who said Spain / Total females = $\frac{3}{22}$ 6. **Final answer:** $$\boxed{\frac{3}{22}}$$